# A Continuous Function Sending L^p Functions to L^1

Desvl at
Throughout, let $$(X,\mathfrak{M},\mu)$$ be a measure space where $$\mu$$ is positive.The questionIf $$f$$ is of $$L^p(\mu)$$, which means $$\lVert f \rVert_p=\left(\int_X |f|^p d\mu\right)^{1/p}0$$, there exists some $$\delta>0$$ such that $$d_2(f(x_0),f(x)) 0$$ and hence $$f(x)$$ is nonincreasing ……